TY - BOOK AU - Mitrea,Marius ED - SpringerLink (Online service) TI - Clifford Wavelets, Singular Integrals, and Hardy Spaces T2 - Lecture Notes in Mathematics, SN - 9783540483793 AV - QA299.6-433 U1 - 515 23 PY - 1994/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Global analysis (Mathematics) KW - Analysis N1 - Clifford algebras -- Constructions of Clifford wavelets -- The L 2 Boundedness of Clifford algebra valued singular integral operators -- Hardy spaces of monogenic functions -- Applications to the theory of harmonic functions N2 - The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces, Hardy spaces of Clifford monogenic functions on Lipschitz domains. Results are applied to potential theory and elliptic boundary value problems on non-smooth domains. The book is self-contained to a large extent and well-suited for graduate students and researchers in the areas of wavelet theory, Harmonic and Clifford Analysis. It will also interest the specialists concerned with the applications of the Clifford algebra machinery to Mathematical Physics UR - http://dx.doi.org/10.1007/BFb0073556 ER -